Answer: 2(9a + 8)
Step-by-step explanation:
2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.
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Answer:
See Explanation
Step-by-step explanation:
3.
XY is tangent at P and CP is radius
[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\
\therefore m\angle CPX = 90\degree \\[/tex]
4.
Radius of the circle = diameter /2 = 13/2 = 6.5.cm
5.
For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.
[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.
Let us work it out:
[tex] AD^2 = 7^2 = 49....(1)\\
AB^2 + BD^2 = 5^2 +5^2 \\
AB^2 + BD^2 = 25 + 25 \\
AB^2 + BD^2 = 50....(2) \\[/tex]
From equations (1) & (2), it is obvious that:
[tex] AD^2 \neq AB^2 + BD^2[/tex]
So, BD is not tangent to the[tex] \odot\: C. [/tex]
6.
Tangents drawn from an external point to a circle are congruent.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD
x = 4
7.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BD = BA (tangents drawn from external point to a circle)
x = 2
8.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD (tangents drawn from external point to a circle)
2x = 10
x = 10/2
x = 5
X х
6
16
+
=
x - 4
x - 3
x2 – 7x + 12
Answer:
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Pls help ill give the brainliest anwser a brainliest
Answer:
D
Step-by-step explanation:
9.5 times the sum means you'd have to the addition first but the equation should but the same as the words. Order of operations states to do the parenthesis first. Therefore, the answer is D (10+5/4)x9.5
Answer:
A.
Step-by-step explanation:
If it's 9.5 times the sum of 10 and 5/4, the answer is A.
Its not b because its called 10 plus 9.5 times 5/4.
Its not c because it is called 9.5 PLUS the sum of 10 and 5/4.
Its not d because its called 10 plus 9.5 times 5/4.
Therefore, the word version fits with answer a.
(3p - 7) + 3(5p - 6) =
Answer:
18p - 25
Step-by-step explanation:
do you need the steps to solve this?
2a+3b=c
Please help meeeee
Answer:
a = -1.5b + 0.5c
Step-by-step explanation:
What is the unit rate? 400 m travelled in 50 seconds
Answer:
8 meters per second or 8/1
Step-by-step explanation:
Divide 400 meters by 50
8
So it is 8 meters per second
Hope this helps :)
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Answer:
8 meters per 1 second
Step-by-step explanation:
first, do 400m/50sec
then, do 400m/1 divided by 50sec/1
next, do keep change flip so, 400/1 * 1/50=400/50
last simplify so, 400 divided by 50 and 50 divided by 50 equals 8/1
hope this helps
What is the slope of the line that passes through the points
(-10,-8) and (-8, -16)? Write your answer in simplest
form.
Divide. Round your answer to the nearest whole number.
8,297.741 divided by 0.529=?
Answer:
8,297.741÷0.529=16876.63
to the nearest whole number it is 16877
Step-by-step explanation:
since 5-9 are rounded up
Paris and Jen are sisters that are away at different colleges. After a 5-hour drive, Paris is 324 miles from home, and after 7 hours she's 200 miles from home.
Jen's trip home can be represented by the equation y=−58x+422.
Which statements are true?
Select all that apply.
1. Paris's school is farther from home than Jen's school.
2.Jen's school is farther from home than Paris's school.
3.It will take Paris longer to get home, even though she's driving faster.
4.Paris is driving slower than Jen.
5.Jen is driving slower than Paris.
Answer:
2.Jen's school is farther from home than Paris's school.
Step-by-step explanation:
hyy there ! it may be but not that sure .
Determine f(-2/3) for the function f(x)=3x²+2x+1
Answer:
1
Step-by-step explanation:
To evaluate, substitute x = - [tex]\frac{2}{3}[/tex] into f(x), that is
f(- [tex]\frac{2}{3}[/tex] )
= 3(- [tex]\frac{2}{3}[/tex] )² + 2(- [tex]\frac{2}{3}[/tex] ) + 1
= 3([tex]\frac{4}{9}[/tex] ) - [tex]\frac{4}{3}[/tex] + 1
= [tex]\frac{4}{3}[/tex] - [tex]\frac{4}{3}[/tex] + 1
= 0 + 1
= 1
Answer:
1
Step-by-step explanation:
f(x) = 3x² + 2x + 1
f(-2/3) = 3x² + 2x +1
f(-2/3) = 3(-2/3)² + 2(-2/3) + 1
Substitute the value in for all the x's
f(-2/3) = 3(4/9) + 2(-2/3) + 1
f(-2/3) = 12/9 + (-4/3) + 1
f(-2/3) = 4/3 + (-4/3) + 1
Subtracting 4/3 by (-4/3) gets you 0 so I didn't write it down.
f(-2/3) = 1
So, the answer I got is 1
Does anyone know how to solve this question?
Answer:
b
Step-by-step explanation:
To evaluate g(h(- 2)), evaluate h(- 2), then use the value obtained to evaluate g(x), that is
h(- 2) = x + 4 = - 2 + 4 = 2, then
g(2) = 5x = 5(2) = 10 → b
if triangle ABC and DEF are congruent, what is the measure of angle E?
Answer: 83
Step-by-step explanation: Because the triangles are congruent, angle A is congruent to angle D, angle C is congruent to angle F, and angle E is congruent to angle B (CPCTC). Now because angle A and D are congruent they are both equal to 50. Using sum of angles in a triangle, you can find that measure of angle E is equal to 180- (47+50). That is 180-97=83.
Answer:
∠ E = 83°
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus ∠ C = ∠ F = 47° and
∠ B = 180° - (50 + 47)° ← angle sum of Δ
∠ B = 180° - 97° = 83°
∠ B and ∠ E are corresponding angles, thus
∠ E = ∠ B = 83°
It costs $15 to enter the fair, then each booth costs $0.75 each. You have $24. Write an equation to show how many booths you, x, you could visit.
Answer:
[tex](x * 0.75) + 15 = $24[/tex]
Step-by-step explanation:
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Does it represent or does it not represent
A figure has been shrunk from center O with a scale factor r = 0.25. What scale factor would enlarge the figure back to the original size?
r =
Answer:
.75
Step-by-step explanation:
How do I solve? How do I solve? How do I solve?
Answer: yes
Step-by-step explanation:
Answer:
Yes, he has enough money to get his things.
Step-by-step explanation:
3 (the amount of grass seed bags he's buying) x 23 (how many dollars it costs) = 69
3 (the amount of flower pots he's buying) x 15 (how many dollars it costs) = 45
69 + 45 = 114
He will have $6 left over his purchases.
Allan has to make a delivery that is 1200 miles away. by law, he can only drive his truck for 20 hours without taking a break. What must allan's average speed be if he wants to make the delivery before he has to take a break?
Answer:
Step-by-step explanation:
60 average speed
The delivery must be completed by Allan before he needs to stop, thus his average pace must be at least 60 mph.
What is the average rate of change?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
If Allan has to make a delivery that is 1200 miles away and can only drive for 20 hours without taking a break,
we need to find his average speed to see if he can make the delivery before the 20-hour mark.
We can use the formula:
average speed = total distance / total time
We know the total distance is 1200 miles.
To find the total time, we need to know Allan's maximum driving time before taking a break. Let's assume that Allan will take a break after driving for 20 hours.
So, Allan's total time available to make the delivery is 20 hours.
Therefore,
average speed = total distance / total time
average speed = 1200 miles / 20 hours
average speed = 60 miles per hour
Allan's average speed must be at least 60 miles per hour to make the delivery before he has to take a break.
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find in liters the volume of storage tank whose length breadth and depth are 6m 4.3m and 3.5m
Answer: Area of tank = lbh
= 6 x 4.3 x 3.5
= 90.3 m^3
1 liter = 1000cm^3
90.3m^3 = 90300 cm^3
90.3l
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The volume of a fish tank is 40 cubic feet. If the density is 0.4, how many fish are in the tank?
Answer:
16 fish
Step-by-step explanation:
In the diagram, .
Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.
If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?
3 in.
7 in.
20 in.
24 in.
Answer: PN= 20 in.
Step-by-step explanation:
Given: In triangles PMN and QSR :
Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]
Length of QS ≅ Length of PM
Length of MN ≅ Length of RS
By SSS congruence rule
ΔPMN ≅ ΔQSR
Since Length of QR =20 in. [Given]
From (1)
Length of PN= 20 in. [Congruent means exactly equal]
Answer:
Its C brudda
Step-by-step explanation:
Ronaldo>Messi
whats the unit rate of 5.76
Answer:
there is no unit rate but hers an example of an unit rate using 5.76 NOT THE ANSWER
Step-by-step explanation:
Example: 64 ounces of water in a bottle that costs $5.76. To find the unit rate per ounce, divide the amount it costs ($5.76) by the number of ounces (64). $5.76 ÷ 64 ounces = $0.09 per ounce
I need help
what is 2+4+1
im desperate
Answer:
7
Step-by-step explanation:
2+4+1 = 6+1 = 7
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The measures of the Angles of a triangle are shown in the figure below
Answer:
x = 22°
Step-by-step explanation:
The angles of a triangle add to 180°, so:
69 + (3x - 4) + (3x - 17) = 180
(3x - 4) + (3x - 17) = 111
6x - 21 = 111
6x = 132
x = 22
Answer:
22
Step-by-step explanation:
(3x - 4)° + (3x - 17)° + 69° = 180°
6x - 21 + 69 = 180
6x + 48 = 180 ⇒ x = 22
Marcos instaló un antivirus en su teléfono que se actualiza cada 4 días, otro en su Tablet que se actualiza cada 6 días y otro en su computadora que se actualiza cada 10 días. Si lo instaló todos al mismo tiempo, ¿Cada cuántos días se actualizan simultáneamente los tres antivirus?
Answer:
Respuestxplicación paso a paso: mcm (4-6-10)=en total es 60 dias
90:120 ratio in the simplest form,
Step-by-step explanation:
90:120
9:12
3:4
Topic: ratio n proportions
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
Step-by-step explanation:
90 : 120
3: 4 is the simplest form
A ball falls from a window. It's height, as a function of time, is modleled by y= -4.9x2 +12. Which statement best describes the function? A. Not enough information is given to decide.
Answer:
Step-by-step explanation:
Given the the height covered by the ball modeled by the equation
y= -4.9x²+12
Since we are not told what to find, we can as well find the time taken by the ball to reach the ground.
The ball hits the ground when y = 0. Substitute y = 0 into the equation and calculate x;
y= -4.9x²+12
0 = -4.9x²+12
Subtract 12 from both sides
0-12 = -4.9x²+12-12
-12 = 4.9x²
x² = -12/4.9
x² = 2.448
x = √2.448
x = 1.57s
Hence we can say that the ball hits the ground after 1.57s.
what is the simplified form of the fraction 7/28
Answer:
1/4
Step-by-step explanation:
7 divided by 24 = 4 so it gets reduced to 1 and then 1/4
The solution is: 1/4 is the simplified form of the fraction 7/28.
Here, we have,
given that,
the fraction is: 7/28
now, we divide each fraction numerator and denominator by a common divisor of them,
here, we know that,
7 * 1 = 7
7*4 = 28
so, the gcf of 7 and 28 = 7
we divide each fraction numerator and denominator by a common divisor 7,
we will get:
7/28 = 1/4
7 divided by 28 = 4 so it gets reduced to 1 and then 1/4.
Hence, The solution is: 1/4 is the simplified form of the fraction 7/28.
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Graph the line.please help